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94.340  Articles
1 of 9.434 pages  |  10  records  |  more records»
In this paper we will study the new type of triangular representations of the symmetric groups which is called the first triangular representations of the symmetric groups over a field K of characteristic p=0.

Let LL be an algebra over a field FF with the binary operations ++ and [,][,]. Then LL is called a left Leibniz algebra if it satisfies the left Leibniz identity: [[a,b],c]=[a,[b,c]]-[b,[a,c]][[a,b],c]=[a,[b,c]]-[b,[a,c]] for all elements a,b,c?La,b,c\in ... see more

Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.

The topology on primitive ideal space of Toeplitz algebras of totally ordered abelian groups can be identified through the upwards-looking topology if and only if the chain of order ideals is well-ordered. We describe the topology on primitive ideal space... see more

Let G be a locally compact group equipped with a normalized Haar measure , A(G) the Fourier algebraof G and V N(G) the von Neumann algebra generated by the left regular representation of G. In this paper, we introduce the space V N(G;A) associated with th... see more

Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.

We continue in the direction of our paper on PT-Symmetry in (Generalized) Effect Algebras and Partial Groups. Namely we extend our considerations to the setting of weakly ordered partial groups. In this setting, any operator weakly ordered partial group i... see more

Background: Teacher education processes directly influence the quality of teaching and, indirectly, students’ learning, which leads teacher educators to assume a central role in the development and leading of these processes, justifying in-depth studies a... see more

Cluster automorphisms have been shown to have links to the mapping class groups of surfaces, maximal green sequences and to exchange graph automorphisms for skew-symmetric cluster algebras. In this paper we generalise these results to the s... see more

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